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97700928 = 2631323011
BaseRepresentation
bin1011101001011…
…00110001000000
320210211201110220
411310230301000
5200002412203
613410023040
72264305233
oct564546100
9223751426
1097700928
1150171176
1228877a80
131731a200
14cd9341a
15889d653
hex5d2cc40

97700928 has 84 divisors (see below), whose sum is σ = 280007568. Its totient is φ = 30051840.

The previous prime is 97700927. The next prime is 97700957. The reversal of 97700928 is 82900779.

It is a super-2 number, since 2×977009282 = 19090942664122368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97700928.

It is not an unprimeable number, because it can be changed into a prime (97700923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30943 + ... + 33953.

Almost surely, 297700928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97700928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140003784).

97700928 is an abundant number, since it is smaller than the sum of its proper divisors (182306640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97700928 is a wasteful number, since it uses less digits than its factorization.

97700928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 97700928 is about 9884.3779773944. The cubic root of 97700928 is about 460.5741538910.

The spelling of 97700928 in words is "ninety-seven million, seven hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 3011 4056 5408 6022 8112 9033 10816 12044 16224 18066 24088 32448 36132 39143 48176 72264 78286 96352 117429 144528 156572 192704 234858 289056 313144 469716 508859 578112 626288 939432 1017718 1252576 1526577 1878864 2035436 2505152 3053154 3757728 4070872 6106308 7515456 8141744 12212616 16283488 24425232 32566976 48850464 97700928